Least Common Multiple of 89/208, 920/311, 892/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/208, 920/311, 892/533 quickly i.e. 18259240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/208, 920/311, 892/533 is 18259240.

LCM(89/208, 920/311, 892/533) = 18259240

LCM of 89/208, 920/311, 892/533

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 89/208,920/311,892/533

Given numbers are 89/208,920/311,892/533

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 89,920,892

Least Common Multiple of Numerators i.e. LCM of 89,920,892 is 18259240.

GCF of Denominators means GCF of 208,311,533 as per the given fractions.

GCF of 208,311,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,920,892

LCM of Fractions 89/208,920/311,892/533 is 18259240

2 89, 920, 892
2 89, 460, 446
89, 230, 223

∴ So the LCM of the given numbers is 2 x 2 x 89 x 230 x 223 = 18259240

Least Common Multiple of 89,920,892 with GCF Formula

Least Common Multiple of 89,920,892 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,920,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,920,892) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(89,920,892) x common factors =1 x 4 = 4

LCM(89,920,892) = ( 89 × 920 × 892 ) / 4

LCM(89,920,892) = 73036960 / 4

LCM(89,920,892) = 18259240


Lets's calculate GCF of 208,311,533

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18259240/1

Therefore the LCM of Fractions 89/208,920/311,892/533 is 18259240

Greatest Common Factor of 208,311,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,311,533 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 208,311,533 . The biggest common factor number is the GCF number.
So the greatest common factor 208,311,533 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 89/208, 920/311, 892/533

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 89/208, 920/311, 892/533?

Answer: LCM of Numerators as per given numbers 89/208, 920/311, 892/533 is

LCM of Numerators i.e. for 89,920,892 is 18259240

GCF of denominators i.e. for 208,311,533 is 1.

Thus, LCM of Fractions is 18259240.Finally, LCM of Fractions for 89/208, 920/311, 892/533 is 18259240.